The nonlinear complementarity problem is identified as an important mathematical programming problem. The idea of nonlinear complementarity problem is based on the concept of linear complementarity problem. For recent study on this problem and applications see [1]}, [2]}, [3]}, [4]} and references therein. For details of several matrix classes in complementarity theory, see [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]} and references cited therein. The problem of computing the value vector and optimal stationary strategies for structured stochastic games for discounted and undiscounded zero-sum games and quadratic Multi-objective programming problem are formulated as linear complementary problems. For details see [14]}, [15]}, [16]} and [17]}. The complementarity problems are considered with respect to principal pivot transforms and pivotal method to its solution point of view. For details see [18]}, [19]}, [20]} and [21]}.
